What is the 9053rd prime number?
The 9053rd prime number is 93827. The next prime is 93851 (a gap of 24) and the one before is 93811.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9053rd one is 93827.
- 2
93827 is prime because no prime up to ā93827 ā 306.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9053rd prime is close to 9053 Ć ln(9053) ā 82481, and here it is 93827.
- 4
93827 has no twin: neither 93825 nor 93829 is prime.
Primes around the 9053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9050 | 93787 | 24 |
| 9051 | 93809 | 22 |
| 9052 | 93811 | 2 |
| 9053 | 93827 | 16 |
| 9054 | 93851 | 24 |
| 9055 | 93871 | 20 |
| 9056 | 93887 | 16 |
Questions
What is the 9053rd prime number?
93827.
Which prime number is 93827?
93827 is the 9053rd prime number.
What is the sum of the first 9053 primes?
402,173,826.